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- A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…Data on the 4000 largest mutual funds shows which funds provided a high 5-year return and a high 10-year return. Of the 4000 mutualfunds surveyed, 3000 funds had a high 5-year return, 2000 had a high 10-yearreturn, and 1500 had both a high 5-year return and a high 10-year return Given that a mutual fund had a high 5-year return, what is theprobability of a mutual fund having a high 10-year return?Show what correction (using the generalized least squares method) we should use if the form of heteroskedasticity was the following, show mathematically For both a) and b)
- A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? (Round your answer to two decimal places.) The overall mortality rate among hypertensives would be reduced by how much? If possible please demonstarte how this can be done on a calculator, thank you!There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.
- Suppose that in a certain chemical process the reaction time (in hours) is related to the temperature (°F) in the chamber in which the reaction takes place, according to the simple linear regression model where β0 = 5.23, β1 = -0.01, and σ = 0.09. If the temperature is 260°F, what is the probability that the reaction time is between 2.51 and 2.7 hours? Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.51 and 2.7 hours? If two independently observed reaction times for temperatures are 1° apart, what is the probability that the time at the higher temperature exceeds the time at the lower temperature?QUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.In the current pandemic, researchers are working on creating antibody tests to determine which individuals have already had an infection caused by the COVID-19 virus. If someone has been infected, then they will have certain antibodies in their system and the hope is that a highly accurate test can be created to detect these antibodies. Assume a researcher creates a new antibody test, which for individuals who are known to have had the infection in the past and thus truly have the COVID-19 antibodies, gives a positive result 95% of the time. This same test gives a negative result 90% of time for people who do not have the antibodies. Assume that COVID-19 has affected 5% of the population in the region of interest. What is the probability someone has NOT been infected previously given that their antibody test result comes back positive? [four decimals]
- A cellphone provider classifies its customers as low users (less than 400 minutes per month) or high users (400 or more minutes per month). Studies have shown that 40% of people who were low users one month will be low users the next month and that 30% of the people who were high users one month will high users next month. a. Set up a 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions b. After many months, how many % of the customers are high usersA political strategist claims that 58% of voters in Madison County support his candidate. In a poll of 500 randomly selected voters, 260 of them support the strategist's candidate. At alpha = .05, is the political strategist's claim warranted?A certain stock price has been observed to follow a pattern. If the stock price goes up one day, there's a 20% chance of it rising tomorrow, a 30% chance of it falling, and a 50% chance of it remaining the same. If the stock price falls one day, there's a 35% chance of it rising tomorrow, a 50% chance of it falling, and a 15% chance of it remaining the same. Finally, if the price is stable on one day, then it has a 50-50 change of rising or falling the next day. Find transition probability matrix for this Markov chain, if we list states in the order: (rising, falling, constant)